%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU229+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:41:21 AM UTC 2026
% Result : Theorem 31.30s 15.00s
% Output : CNFRefutation 31.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU229+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/10.41 % Computer : n004.cluster.edu
% 0.15/10.41 % Model : x86_64 x86_64
% 0.15/10.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/10.41 % Memory : 8046.5625MB
% 0.15/10.41 % OS : Linux 6.8.0-71-generic
% 0.15/10.41 % CPULimit : 300
% 0.15/10.41 % WCLimit : 300
% 0.15/10.41 % DateTime : Sat Sep 26 08:54:47 UTC 2026
% 0.15/10.42 % CPUTime :
% 0.15/10.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.30/15.00 % SZS status Theorem for theBenchmark.p
% 31.30/15.00 % SZS output start CNFRefutation for theBenchmark.p
% 31.30/15.00 fof(d1_enumset1, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((X3 = 'unordered$utriple'(X0,X1,X2) <=> ! [X4] : ((in(X4,X3) <=> ~((X4 != X0 & (X4 != X1 & X4 != X2)))))))).
% 31.30/15.00 fof(t7_tarski, axiom, ! [X0] : ! [X1] : ~((in(X0,X1) & ! [X2] : ~((in(X2,X1) & ! [X3] : ~((in(X3,X1) & in(X3,X2)))))))).
% 31.30/15.00 fof(t3_ordinal1, conjecture, ! [X0] : ! [X1] : ! [X2] : ~((in(X0,X1) & (in(X1,X2) & in(X2,X0))))).
% 31.30/15.00 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ~((in(X0,X1) & (in(X1,X2) & in(X2,X0)))), inference(negate_conjecture, [status(cth)], [t3_ordinal1])).
% 31.30/15.00 cnf(c6, plain, X0 != 'unordered$utriple'(X1,X2,X3) | X4(X1,X2,X3,X0), inference(clausification, [status(esa)], [d1_enumset1])).
% 31.30/15.00 cnf(c7, plain, X0 = 'unordered$utriple'(X1,X2,X3) | ~X4(X1,X2,X3,X0), inference(clausification, [status(esa)], [d1_enumset1])).
% 31.30/15.00 cnf(c8, plain, X0 = X1 | ~in(X0,X2) | X0 = X3 | X0 = X4 | ~X5(X4,X3,X1,X2), inference(clausification, [status(esa)], [d1_enumset1])).
% 31.30/15.00 cnf(c9, plain, ~X0(X1,X2,X3,X4) | in(X5,X4) | X5 != X1, inference(clausification, [status(esa)], [d1_enumset1])).
% 31.30/15.00 cnf(c10, plain, ~X0(X1,X2,X3,X4) | in(X5,X4) | X5 != X2, inference(clausification, [status(esa)], [d1_enumset1])).
% 31.30/15.00 cnf(c11, plain, ~X0(X1,X2,X3,X4) | in(X5,X4) | X5 != X3, inference(clausification, [status(esa)], [d1_enumset1])).
% 31.30/15.00 cnf(c53, plain, ~in(X0,X1) | in(sK33(X1),X1), inference(clausification, [status(esa)], [t7_tarski])).
% 31.30/15.00 cnf(c54, plain, ~in(X0,X1) | ~in(X2,X1) | ~in(X2,sK33(X1)), inference(clausification, [status(esa)], [t7_tarski])).
% 31.30/15.00 cnf(c56, plain, in(sK37,sK38), inference(clausification, [status(esa)], [negated_conjecture])).
% 31.30/15.00 cnf(c57, plain, in(sK38,sK39), inference(clausification, [status(esa)], [negated_conjecture])).
% 31.30/15.00 cnf(c58, plain, in(sK39,sK37), inference(clausification, [status(esa)], [negated_conjecture])).
% 31.30/15.00 cnf(d0, plain, 'Ts5'(X0,X1,X2,'unordered$utriple'(X0,X1,X2)), inference(equality_resolution, [status(thm)], [c6])).
% 31.30/15.00 cnf(d1, plain, in(X0,X1) | ~'Ts5'(X2,X3,X0,X1), inference(equality_resolution, [status(thm)], [c11])).
% 31.30/15.00 cnf(d2, plain, in(X0,'unordered$utriple'(X1,X2,X0)), inference(resolution, [status(thm)], [d1,d0])).
% 31.30/15.00 cnf(d3, plain, in(X0,X1) | ~'Ts5'(X0,X2,X3,X1), inference(equality_resolution, [status(thm)], [c9])).
% 31.30/15.00 cnf(d4, plain, in(X0,'unordered$utriple'(X0,X1,X2)), inference(resolution, [status(thm)], [d3,d0])).
% 31.30/15.00 cnf(d5, plain, in(X0,X1) | ~'Ts5'(X2,X0,X3,X1), inference(equality_resolution, [status(thm)], [c10])).
% 31.30/15.00 cnf(d6, plain, in(X0,'unordered$utriple'(X1,X0,X2)), inference(resolution, [status(thm)], [d5,d0])).
% 31.30/15.00 cnf(d7, plain, X0 = X1 | X0 = X2 | X0 = X3 | ~in(X0,'unordered$utriple'(X3,X2,X1)), inference(resolution, [status(thm)], [c8,d0])).
% 31.30/15.00 cnf(d8, plain, sK33('unordered$utriple'(X0,X1,X2)) = X0 | sK33('unordered$utriple'(X0,X1,X2)) = X1 | sK33('unordered$utriple'(X0,X1,X2)) = X2 | ~in(X3,'unordered$utriple'(X0,X1,X2)), inference(resolution, [status(thm)], [d7,c53])).
% 31.30/15.00 cnf(d9, plain, sK33(X3) = X0 | sK33('unordered$utriple'(X0,X1,X2)) = X2 | sK33('unordered$utriple'(X0,X1,X2)) = X1 | ~in(X4,'unordered$utriple'(X0,X1,X2)) | ~'Ts5'(X0,X1,X2,X3), inference(superposition, [status(thm)], [c7,d8])).
% 31.30/15.00 cnf(d10, plain, sK33(X3) = X1 | sK33(X4) = X0 | sK33('unordered$utriple'(X0,X1,X2)) = X2 | ~in(X5,'unordered$utriple'(X0,X1,X2)) | ~'Ts5'(X0,X1,X2,X4) | ~'Ts5'(X0,X1,X2,X3), inference(superposition, [status(thm)], [c7,d9])).
% 31.30/15.00 cnf(d11, plain, sK33(X3) = X2 | sK33(X4) = X0 | sK33(X5) = X1 | ~in(X6,'unordered$utriple'(X0,X1,X2)) | ~'Ts5'(X0,X1,X2,X4) | ~'Ts5'(X0,X1,X2,X5) | ~'Ts5'(X0,X1,X2,X3), inference(superposition, [status(thm)], [c7,d10])).
% 31.30/15.00 cnf(d12, plain, sK33(X0) = X1 | sK33(X2) = X3 | sK33(X4) = X5 | ~'Ts5'(X3,X1,X5,X0) | ~'Ts5'(X3,X1,X5,X2) | ~'Ts5'(X3,X1,X5,X4), inference(resolution, [status(thm)], [d11,d2])).
% 31.30/15.00 cnf(d13, plain, sK33(X0) = X1 | sK33(X2) = X3 | sK33('unordered$utriple'(X3,X4,X1)) = X4 | ~'Ts5'(X3,X4,X1,X0) | ~'Ts5'(X3,X4,X1,X2), inference(resolution, [status(thm)], [d12,d0])).
% 31.30/15.00 cnf(d14, plain, ~in(X3,X1) | ~in(X4,'unordered$utriple'(X0,X1,X2)) | ~in(X3,'unordered$utriple'(X0,X1,X2)) | sK33(X5) = X0 | sK33(X6) = X2 | ~'Ts5'(X0,X1,X2,X5) | ~'Ts5'(X0,X1,X2,X6), inference(superposition, [status(thm)], [d13,c54])).
% 31.30/15.00 cnf(d15, plain, sK33(X0) = X1 | sK33(X2) = X3 | ~in(X4,'unordered$utriple'(X3,X5,X1)) | ~in(X1,X5) | ~'Ts5'(X3,X5,X1,X0) | ~'Ts5'(X3,X5,X1,X2), inference(resolution, [status(thm)], [d14,d2])).
% 31.30/15.00 cnf(d16, plain, sK33(X0) = X1 | sK33(X2) = X3 | ~in(X3,X4) | ~'Ts5'(X1,X4,X3,X0) | ~'Ts5'(X1,X4,X3,X2), inference(resolution, [status(thm)], [d15,d2])).
% 31.30/15.00 cnf(d17, plain, sK33(X0) = X1 | sK33('unordered$utriple'(X2,X3,X1)) = X2 | ~in(X1,X3) | ~'Ts5'(X2,X3,X1,X0), inference(resolution, [status(thm)], [d16,d0])).
% 31.30/15.00 cnf(d18, plain, ~in(X3,X0) | ~in(X4,'unordered$utriple'(X0,X1,X2)) | ~in(X3,'unordered$utriple'(X0,X1,X2)) | sK33(X5) = X2 | ~in(X2,X1) | ~'Ts5'(X0,X1,X2,X5), inference(superposition, [status(thm)], [d17,c54])).
% 31.30/15.00 cnf(d19, plain, sK33(X0) = X1 | ~in(X2,'unordered$utriple'(X3,X4,X1)) | ~in(X4,X3) | ~in(X1,X4) | ~'Ts5'(X3,X4,X1,X0), inference(resolution, [status(thm)], [d18,d6])).
% 31.30/15.00 cnf(d20, plain, sK33(X0) = X1 | ~in(X2,X3) | ~in(X1,X2) | ~'Ts5'(X3,X2,X1,X0), inference(resolution, [status(thm)], [d19,d2])).
% 31.30/15.00 cnf(d21, plain, sK33('unordered$utriple'(X0,X1,X2)) = X2 | ~in(X1,X0) | ~in(X2,X1), inference(resolution, [status(thm)], [d20,d0])).
% 31.30/15.00 cnf(d22, plain, ~in(X3,X2) | ~in(X4,'unordered$utriple'(X0,X1,X2)) | ~in(X3,'unordered$utriple'(X0,X1,X2)) | ~in(X2,X1) | ~in(X1,X0), inference(superposition, [status(thm)], [d21,c54])).
% 31.30/15.00 cnf(d23, plain, ~in(X0,'unordered$utriple'(X1,X2,X3)) | ~in(X1,X3) | ~in(X3,X2) | ~in(X2,X1), inference(resolution, [status(thm)], [d22,d4])).
% 31.30/15.00 cnf(d24, plain, ~in(X0,X1) | ~in(X1,X2) | ~in(X2,X0), inference(resolution, [status(thm)], [d23,d2])).
% 31.30/15.00 cnf(d25, plain, ~in(X0,sK37) | ~in(sK38,X0), inference(resolution, [status(thm)], [d24,c56])).
% 31.30/15.00 cnf(d26, plain, ~in(sK39,sK37), inference(resolution, [status(thm)], [d25,c57])).
% 31.30/15.00 cnf(d27, plain, $false, inference(resolution, [status(thm)], [c58,d26])).
% 31.30/15.00 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------